Finding the Fourth Proportional to 458,423,476.32, 687,202,946.16 and 228,174,891.60
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Solution
The fourth proportional to 458,423,476.32, 687,202,946.16 and 228,174,891.60 is: 342,047,180.93
Step by Step Solution
- Step 1: Write the proportion equation
458,423,476.32 : 687,202,946.16 = 228,174,891.60 : x - Step 2: Convert to fraction form
458,423,476.32/687,202,946.16 = 228,174,891.60/x - Step 3: Cross multiply
458,423,476.32x = 687,202,946.16 × 228,174,891.60 - Step 4: Simplify right side
458,423,476.32x = 156,802,457,747,258,624 - Step 5: Solve for x
x = 156,802,457,747,258,624/458,423,476.32 - Step 6: Final answer
x = 342,047,180.93
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.